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Finding the Fourth Proportional to 896.67, 1,345.23 and 724.89

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Solution

The fourth proportional to 896.67, 1,345.23 and 724.89 is: 1,087.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.67 : 1,345.23 = 724.89 : x
  2. Step 2: Convert to fraction form
    896.67/1,345.23 = 724.89/x
  3. Step 3: Cross multiply
    896.67x = 1,345.23 × 724.89
  4. Step 4: Simplify right side
    896.67x = 975,143.77
  5. Step 5: Solve for x
    x = 975,143.77/896.67
  6. Step 6: Final answer
    x = 1,087.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.